Report of the fit

Fit summary

Description: PV19 version x
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: False
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2	N_1	\alpha	\sigma	\lambda	N_{1B}	\alpha_B	\sigma_B	g_{2B}
-0.12888952690134006	91.74095932969549	12.526931171081408	1.4247489878765083	0.6251785622131765	0.019079068270586277	0.17976965405632592	0.0035122870971983342	0.05065103223663239

Theory summary

Collinear PDF set: MMHT2014nlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NLLp
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 228
\chi_{0}^2 = 3.3555
\chi_{mean}^2 = 3.4854
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 3.3733 \pm 0.0119
\langle E \rangle \pm \sigma_{E} = 4.3894 \pm 0.2463

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	-0.12889322	-0.12991164 \pm 0.00835443	False
N_1	91.716743	403.58581358 \pm 1010.84882896	False
\alpha	12.528453	37.95318179 \pm 85.08751978	False
\sigma	1.424713	1.35231661 \pm 0.29149479	False
\lambda	0.62524085	0.62454973 \pm 0.04382257	False
N_{1B}	0.019078395	0.02081679 \pm 0.00695772	False
\alpha_B	0.17976964	0.17976725 \pm 7.303e-05	False
\sigma_B	0.0035122548	0.00357199 \pm 0.00057156	False
g_{2B}	0.050650192	0.05127054 \pm 0.00561024	False

Fit properties

Global $\chi^2$ distribution — Global \chi^2 distribution

$\alpha$ distribution — \alpha distribution

$\sigma$ distribution — \sigma distribution

$\lambda$ distribution — \lambda distribution

$N_{1B}$ distribution — N_{1B} distribution

$\alpha_B$ distribution — \alpha_B distribution

$\sigma_B$ distribution — \sigma_B distribution

$g_{2B}$ distribution — g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.4839	0.2412	0.7251
E605_Q_8_9	8	0.9083	0.0547	0.963
E605_Q_10.5_11.5	10	0.6148	0.0095	0.6243
E288_200_Q_4_5	4	1.2466	0.528	1.7746
E288_200_Q_5_6	5	3.2561	0.5052	3.7613
E288_200_Q_6_7	6	1.4624	0.1413	1.6037
E288_200_Q_7_8	7	1.4923	0.0012	1.4936
E288_200_Q_8_9	8	0.8439	0.0635	0.9074
E288_300_Q_4_5	4	0.9757	0.0717	1.0474
E288_300_Q_5_6	5	1.9994	0.0615	2.0608
E288_300_Q_6_7	6	1.6413	0.0001	1.6414
E288_300_Q_7_8	7	0.7176	0.0011	0.7187
E288_300_Q_8_9	8	0.4012	0.0054	0.4066
E288_400_Q_5_6	5	1.4252	0.0054	1.4306
E288_400_Q_6_7	6	0.935	0.0931	1.0281
E288_400_Q_7_8	7	0.6015	0.1087	0.7102
E288_400_Q_8_9	8	0.814	0.1021	0.9161
E288_400_Q_11_12	11	0.6538	0.0552	0.709
E288_400_Q_12_13	12	0.6842	0.0612	0.7453
E288_400_Q_13_14	12	0.6011	0.1312	0.7323
STAR_510	7	1.6972	0.0307	1.7279
CDF_RunI	25	0.9002	0.2563	1.1565
CDF_RunII	26	1.47	0.031	1.501
D0_RunI	12	0.7745	0.0101	0.7846
D0_RunII	5	0.8741	0.0074	0.8816
D0_RunIImu	3	1.01	0.2126	1.2226
LHCb_7TeV	7	2.093	1.4614	3.5545
LHCb_8TeV	7	2.3263	2.7051	5.0314
LHCb_13TeV	7	1.8101	0.5763	2.3864
CMS_7TeV	4	5.4449	0	5.4449
CMS_8TeV	4	2.2611	0.4208	2.6819
ATLAS_7TeV_y_0_1	6	16.1993	4.9841	21.1834
ATLAS_7TeV_y_1_2	6	11.7886	2.5815	14.3701
ATLAS_7TeV_y_2_2.4	6	3.4312	0.1712	3.6024
ATLAS_8TeV_y_0_0.4	6	12.2446	3.8885	16.133
ATLAS_8TeV_y_0.4_0.8	6	16.4956	5.9742	22.4698
ATLAS_8TeV_y_0.8_1.2	6	11.144	2.1973	13.3414
ATLAS_8TeV_y_1.2_1.6	6	7.1616	1.6993	8.8609
ATLAS_8TeV_y_1.6_2	6	6.0733	2.1593	8.2327
ATLAS_8TeV_y_2_2.4	6	2.6243	0.7494	3.3737
ATLAS_8TeV_Q_46_66	4	2.1103	0.3467	2.457
ATLAS_8TeV_Q_116_150	8	3.4324	0.1062	3.5386
Total	319	-	-	3.3555

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.8372	0.445	1.2822
E605_Q_8_9	8	1.508	0.3265	1.8346
E605_Q_10.5_11.5	10	0.584	0.0039	0.5879
E288_200_Q_4_5	4	0.6616	0.2353	0.8969
E288_200_Q_5_6	5	1.9697	0.1335	2.1032
E288_200_Q_6_7	6	0.9723	0.0772	1.0495
E288_200_Q_7_8	7	1.4394	0.0015	1.4409
E288_200_Q_8_9	8	1.317	0.0634	1.3804
E288_300_Q_4_5	4	0.7729	0.0309	0.8037
E288_300_Q_5_6	5	1.8028	0.0014	1.8041
E288_300_Q_6_7	6	1.6813	0.0016	1.6829
E288_300_Q_7_8	7	0.688	0.0	0.688
E288_300_Q_8_9	8	0.3757	0.0016	0.3773
E288_400_Q_5_6	5	1.8254	0.1522	1.9775
E288_400_Q_6_7	6	1.3899	0.1863	1.5763
E288_400_Q_7_8	7	0.9495	0.2257	1.1752
E288_400_Q_8_9	8	1.3818	0.2056	1.5873
E288_400_Q_11_12	11	1.1433	0.0836	1.2269
E288_400_Q_12_13	12	1.2392	0.0724	1.3116
E288_400_Q_13_14	12	1.4606	0.1358	1.5964
STAR_510	7	1.5189	0.0848	1.6037
CDF_RunI	25	0.7509	0.2391	0.99
CDF_RunII	26	2.0335	0.0256	2.059
D0_RunI	12	0.7929	0.0137	0.8066
D0_RunII	5	2.4663	0.0157	2.4819
D0_RunIImu	3	0.9252	0.4525	1.3778
LHCb_7TeV	7	1.7368	1.4151	3.1519
LHCb_8TeV	7	2.0111	2.4991	4.5102
LHCb_13TeV	7	1.6009	0.5119	2.1128
CMS_7TeV	4	5.4368	0	5.4368
CMS_8TeV	4	2.2855	0.4288	2.7143
ATLAS_7TeV_y_0_1	6	16.3103	4.9746	21.2849
ATLAS_7TeV_y_1_2	6	11.6522	2.5899	14.242
ATLAS_7TeV_y_2_2.4	6	3.3746	0.1719	3.5465
ATLAS_8TeV_y_0_0.4	6	12.2864	3.9466	16.2331
ATLAS_8TeV_y_0.4_0.8	6	16.3078	6.0892	22.397
ATLAS_8TeV_y_0.8_1.2	6	11.1425	2.2308	13.3733
ATLAS_8TeV_y_1.2_1.6	6	7.1081	1.7139	8.822
ATLAS_8TeV_y_1.6_2	6	5.9251	2.1559	8.0809
ATLAS_8TeV_y_2_2.4	6	2.5617	0.7477	3.3094
ATLAS_8TeV_Q_46_66	4	1.9896	0.3788	2.3683
ATLAS_8TeV_Q_116_150	8	3.3873	0.1107	3.4979
Total	319	-	-	3.4854

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi^2
E605_Q_7_8	7	0.7278 \pm 0.0816
E605_Q_8_9	8	0.9928 \pm 0.0541
E605_Q_10.5_11.5	10	0.6709 \pm 0.0738
E288_200_Q_4_5	4	1.807 \pm 0.1734
E288_200_Q_5_6	5	3.7914 \pm 0.2323
E288_200_Q_6_7	6	1.6255 \pm 0.1796
E288_200_Q_7_8	7	1.5141 \pm 0.1839
E288_200_Q_8_9	8	0.9236 \pm 0.096
E288_300_Q_4_5	4	1.0672 \pm 0.1085
E288_300_Q_5_6	5	2.0849 \pm 0.193
E288_300_Q_6_7	6	1.6589 \pm 0.2379
E288_300_Q_7_8	7	0.7369 \pm 0.1564
E288_300_Q_8_9	8	0.4215 \pm 0.038
E288_400_Q_5_6	5	1.4477 \pm 0.2064
E288_400_Q_6_7	6	1.0532 \pm 0.2789
E288_400_Q_7_8	7	0.7487 \pm 0.2786
E288_400_Q_8_9	8	0.9611 \pm 0.2072
E288_400_Q_11_12	11	0.7346 \pm 0.1291
E288_400_Q_12_13	12	0.7633 \pm 0.0929
E288_400_Q_13_14	12	0.7401 \pm 0.1046
STAR_510	7	1.7096 \pm 0.0967
CDF_RunI	25	1.164 \pm 0.0342
CDF_RunII	26	1.545 \pm 0.1274
D0_RunI	12	0.7922 \pm 0.0592
D0_RunII	5	0.9632 \pm 0.1696
D0_RunIImu	3	1.283 \pm 0.1116
LHCb_7TeV	7	3.5764 \pm 0.0898
LHCb_8TeV	7	5.1013 \pm 0.1901
LHCb_13TeV	7	2.4161 \pm 0.0608
CMS_7TeV	4	5.4388 \pm 0.0541
CMS_8TeV	4	2.6712 \pm 0.078
ATLAS_7TeV_y_0_1	6	21.1624 \pm 0.3509
ATLAS_7TeV_y_1_2	6	14.3538 \pm 0.3184
ATLAS_7TeV_y_2_2.4	6	3.6116 \pm 0.0837
ATLAS_8TeV_y_0_0.4	6	16.1183 \pm 0.2547
ATLAS_8TeV_y_0.4_0.8	6	22.4751 \pm 0.2639
ATLAS_8TeV_y_0.8_1.2	6	13.3231 \pm 0.2157
ATLAS_8TeV_y_1.2_1.6	6	8.8463 \pm 0.1688
ATLAS_8TeV_y_1.6_2	6	8.2322 \pm 0.2284
ATLAS_8TeV_y_2_2.4	6	3.3718 \pm 0.1323
ATLAS_8TeV_Q_46_66	4	2.4541 \pm 0.109
ATLAS_8TeV_Q_116_150	8	3.5441 \pm 0.0575
Total	319	3.3733 \pm 0.0119